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Overview Varying the types of sentences used within paragraphs can lead to effective writing. Some types of sentences include the simple sentence, the compound sentence, the complex sentence, and the compound-complex sentence. The Simple Sentence The simple sentence contains one independent clause. It can be as brief as a subject and verb, such as “Birds […]

Overview Data in real-world situations doesn’t always fall into neat linear relationships. The actual values may be plotted in a scatterplot. Trend lines approximate the direction and size of the relationship between data points, as do median-fit lines. Scatterplots Actual data values can be plotted by ordered pairs on a graph called a scatterplot. The […]

Overview A function is a special relationship between variables in an equation such that for every domain value, there is only one range value. Functions can be expressed using a function rule that defines those values. Once enough values have been derived, the function can be graphed. Independent and Dependent Variables In order to begin […]

Overview The sport of soccer is popular worldwide. Like other sports, the ball and the players follow laws of physics as games are played, especially Newton’s Laws of Motion, friction, momentum, and aerodynamics. Laws of Motion Newton’s First Law According to Newton’s First Law of Motion, a soccer ball will stay at rest unless a […]

Overview Students read and study different types of text, including expository text, persuasive text, expressive text, and literary text. Different types of text have different purposes, and understanding the author’s purpose in writing helps in active reading. Expository Text Most of the textbooks and reference books students are required to read are expository text, written […]

Overview On July 14, 2015, the New Horizons probe flew past Pluto in its closest approach, over 7700 miles or 12,500 km from the dwarf planet. From the time it was launched in January 2006, it has flown an incredible 3 billion miles from Earth. The distance is so far away that pictures and messages […]

Overview It is very important to have a good vocabulary in order to do the amount and type of reading required in high school and college. Some strategies for building vocabulary include understanding root words, focusing on specialized vocabulary, and using a variety of reading skills to determine meaning. Vocabulary The English language is a […]

Overview Relationships between data points can often be represented on graphs. They can also be expressed in ordered pairs as relations or functions. Relationships and Graphs One of the many ways that relationships between the values of variables can be represented is on a graph. Traditionally, the x axis is the horizontal axis (also known […]

Overview Percents are based on the decimal system and have many useful applications in business, sales, and finance. Other applications of percents include percent increase and decrease. Estimating Percentages Many of the most useful applications of percents involve estimating and calculating percentages for sales tax and tips at a restaurant. Suppose the sales tax is […]

Overview Rainbows, glories, fogbows, and glassbows are all related phenomena caused by the nature of light. Each color is created by light hitting raindrops or beads of glass. They have fascinated people for millennia, including Aristotle and Sir Isaac Newton. The Science of Rainbows Rainbows are phenomena that are created whenever the conditions are right […]